document.write( "Question 638246: One of the angle of a triangle is 65. Find the remaining two angles if their difference is 25 \n" ); document.write( "

Algebra.Com's Answer #402076 by josmiceli(19441) $\"\"$ $\"About$

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Call the unknown angles $\"+a+\"$ and $\"+b+\"$
\n" ); document.write( "The angles of a triangle always add up to 180 degrees, so
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+65+=+180+\"$
\n" ); document.write( "also given is
\n" ); document.write( "(2) $\"+a+-+b+=+25+\"$
\n" ); document.write( "---------------
\n" ); document.write( "(2) $\"+a+=+b+%2B+25+\"$
\n" ); document.write( "Substitute this into (1)
\n" ); document.write( "(1) $\"+b+%2B+25+%2B+b+%2B+65+=+180+\"$
\n" ); document.write( "(1) $\"+2b+%2B+90+=+180+\"$
\n" ); document.write( "(1) $\"+2b+=+90+\"$
\n" ); document.write( "(1) $\"+b+=+45+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+a+=+b+%2B+25+\"$
\n" ); document.write( "(2) $\"+a+=+45+%2B+25+\"$
\n" ); document.write( "(2) $\"+a+=+70+\"$
\n" ); document.write( "The remaining angles are 45 and 70 degrees
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+65+=+180+\"$
\n" ); document.write( "(1) $\"+70+%2B+45+%2B+65+=+180+\"$
\n" ); document.write( "(1) $\"+180+=+180+\"$
\n" ); document.write( "OK \n" ); document.write( "

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